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Finding the Fourth Proportional to 2,006.73, 3,010.20 and 545.70

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Solution

The fourth proportional to 2,006.73, 3,010.20 and 545.70 is: 818.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.73 : 3,010.20 = 545.70 : x
  2. Step 2: Convert to fraction form
    2,006.73/3,010.20 = 545.70/x
  3. Step 3: Cross multiply
    2,006.73x = 3,010.20 × 545.70
  4. Step 4: Simplify right side
    2,006.73x = 1,642,666.14
  5. Step 5: Solve for x
    x = 1,642,666.14/2,006.73
  6. Step 6: Final answer
    x = 818.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.